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Physics Chapter 9 : Topic 14
Beats
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Beats are produced when two waves have:
Reasoning: Beats occur due to interference between two waves having slightly different frequencies.
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The periodic variation in loudness caused by interference of two waves is called:
Reasoning: Beats are heard as regular increases and decreases in sound intensity due to changing interference.
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The beat frequency produced by two waves of frequencies $\mathbf{f}_{\mathbf{1}}$ and $\mathbf{f}_{\mathbf{2}}$ is:
Reasoning: The number of beats per second equals the difference between the two frequencies.
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Two tuning forks produce frequencies $\mathbf{256\ Hz}$ and $\mathbf{260\ Hz}$. The beat frequency will be:
Reasoning: Beat frequency $\mathbf{= |260 - 256| = 4\ Hz}$
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During beats, the loud sound occurs when the two waves:
Reasoning: Loudness increases when amplitudes add due to constructive interference.
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The soft sound in a beat phenomenon occurs due to:
Reasoning: Soft sound occurs when waves partially or completely cancel due to destructive interference.
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Two sound waves have frequencies $\mathbf{500\ Hz}$ and $\mathbf{504\ Hz}$. The number of beats heard per second is:
Reasoning: Beat frequency $\mathbf{= |504 - 500| = 4\ Hz}$
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If two sound waves have exactly the same frequency, the beat frequency will be:
Reasoning: Equal frequencies maintain a constant phase relationship and produce no beats.
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The phenomenon of beats demonstrates:
Reasoning: Beats are a direct result of interference between waves.
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For audible beats to be clearly detected, the difference between frequencies should generally be:
Reasoning: Slightly different frequencies produce slow variations in loudness that can be heard as beats.
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Two waves of frequencies $\mathbf{400\ Hz}$ and $\mathbf{410\ Hz}$ produce:
Reasoning: Beat frequency $\mathbf{= |410 - 400| = 10\ Hz}$
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In the beat phenomenon, the frequency of individual waves remains:
Reasoning: The frequencies of the original waves do not change; only the amplitude varies periodically.
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The sound intensity in beats varies because:
Reasoning: Interference causes periodic changes in resultant amplitude, producing changes in intensity.
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Two waves produce maximum loudness when their phase difference is:
Reasoning: Waves are in phase during constructive interference, giving maximum amplitude.
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Two waves produce minimum loudness when their phase difference is:
Reasoning: A phase difference of $\mathbf{\pi}$ causes destructive interference.
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If the frequency difference between two waves increases, the beat frequency:
Reasoning: Beat frequency equals the difference between the two frequencies.
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A musician uses beats to tune an instrument because:
Reasoning: The number of beats per second helps determine how close two frequencies are.
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A tuning fork of unknown frequency produces $\mathbf{5}$ beats per second with a $\mathbf{300\ Hz}$ tuning fork. Its frequency may be:
Reasoning: Beat frequency $\mathbf{=}$ frequency differenceSo, unknown frequency can be $\mathbf{300 \pm 5\ Hz}$.
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If two waves have frequencies $\mathbf{100\ Hz}$ and $\mathbf{102\ Hz}$, the time interval between successive beats is:
Reasoning: Beat frequency $\mathbf{= 2\ Hz\ }$, so time between beats $\mathbf{= 1\ /\ 2 = 0.5\ s}$
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Beats are not usually produced by two independent light sources because:
Reasoning: Independent light sources do not maintain a stable phase relationship.
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The mathematical expression for resultant amplitude of two interfering waves depends on:
Reasoning: Phase difference determines whether waves reinforce or cancel.
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When two waves of slightly different frequencies interfere, the resultant wave has:
Reasoning: The amplitude changes due to alternating constructive and destructive interference.
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Two sound waves have frequencies $\mathbf{700\ Hz}$ and $\mathbf{710\ Hz}$. The beat period is:
Reasoning: Beat frequency $\mathbf{= 10\ Hz\ }$, so beat period $\mathbf{= 1\ /\ 10 = 0.1\ s}$
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In beat formation, the resultant frequency of sound heard is approximately:
Reasoning: The ear hears a sound with frequency close to the average of the two frequencies, while loudness varies at beat frequency.
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If two tuning forks produce 8 beats per second, their frequencies differ by:
Reasoning: Beat frequency is equal to the difference between frequencies.
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Which condition is necessary for producing audible beats?
Reasoning: Slight frequency difference produces periodic changes in intensity.
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At maximum intensity during beats, the resultant amplitude is:
Reasoning: Maximum loudness occurs when waves interfere constructively.
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At minimum intensity during beats, the resultant amplitude is:
Reasoning: Destructive interference reduces the resultant amplitude.
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If two sound sources have frequencies differing by $\mathbf{20\ Hz\ }$, the number of beats heard per second is:
Reasoning: Beat frequency equals the absolute difference between frequencies.
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The beat phenomenon is an application of:
Reasoning: Beats occur because overlapping waves combine according to the superposition principle.
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